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Finding the Fourth Proportional to 154,394, 213,073.12 and 86,409.60

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Solution

The fourth proportional to 154,394, 213,073.12 and 86,409.60 is: 119,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,394 : 213,073.12 = 86,409.60 : x
  2. Step 2: Convert to fraction form
    154,394/213,073.12 = 86,409.60/x
  3. Step 3: Cross multiply
    154,394x = 213,073.12 × 86,409.60
  4. Step 4: Simplify right side
    154,394x = 18,411,563,069.95
  5. Step 5: Solve for x
    x = 18,411,563,069.95/154,394
  6. Step 6: Final answer
    x = 119,250.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.